• Title/Summary/Keyword: diffraction diagram

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A Study on the Measurement of Residual Stress in Rolled Steel for Automobile using X-ray Diffraction (X선 회절을 이용한 자동차 압연강의 잔류응력 측정에 관한 연구)

  • 홍순혁;이동우;조석수;주원식
    • Transactions of the Korean Society of Automotive Engineers
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    • v.10 no.6
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    • pp.150-157
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    • 2002
  • In textured material, diffraction angle $2{\theta}$ usually shows a nonlinear relation against $sin^2{\psi}$ due to elastic anisotropy of crystals. SPHD and SPCD steel is cold-rolled carbon steel for automobile. The characteristics X-ray for stress measurement is Cr $K_{\alpha}\;and\;Mo\;K_{\alpha}$ characteristic X-ray. The $2{\theta}-sin^2{\psi}$ diagram under elastic strain seems to have a linear behavior using regression line of data but has a nonlinear behavior in distribution of data by Cr $K_{\alpha}$ characteristic X-ray. As the plastic strain of specimen increases, the nonlinearity of $2{\theta}$ with respect to $sin^2{\psi}$ increases remarkably. On the other hand, the diffraction angle $2{\theta}$ by Mo $K_{\alpha}$ characteristic X-ray shows a good linearity on $2{\theta}-sin^2{\psi}$ diagram under plastic strain as well as elastic strain. Therefore, this paper presents the measurement of residual stress in cold-rolled carbon steel for automobile using penetration depth of Mo $K_{\alpha1}$ characteristic X-ray and multiplicity factor of crystal diffraction plane.

Prediction of Fatigue Life in 2024-73 Aluminum Using X-ray half-value breadth

  • Kim, Soon-Ho;Cho, Seok-Swoo;Park, Jung-Hyeon
    • International Journal of Precision Engineering and Manufacturing
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    • v.3 no.2
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    • pp.78-86
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    • 2002
  • In general, X-ray diffraction method detects the changes of crystal lattice under material surface using the angle of diffraction 2$\theta$. This technique which deals with in the presented paper can be applied to a behavior on the slipped band or the micro crack cause to material degradation. The relation between half-value breadth and cycle numbers shows three stages, which consist of rapid decrease in the initial cycle, slight decrease in the middle cycle, and then rapid decrease in the final cycle. The ratio of half-value breadth has a constant value on B/B$\_$0/ - N diagram under the loading condition except early part of fatigue life. The ratio of half-value breadth B/B$\_$0/ - log N$\_$f/ with respect to number of cycle to failure N$\_$f/ has linear behavior on B/B$\_$0/ - log N$\_$f/ diagram. Therefore, the evaluation of fatigue life by the average gradient has much less mean error than the estimation of fatigue life by log B/B$\_$0/ - log N/N$\_$f/ relation.

A Study on the Prediction of Fatigue Life in 2024-T3 Aluminium using X-ray Half-Value Breadth (X선 반가폭을 이용한 Al 2024-T3 합금의 피로수명예측에 관한 연구)

  • 조석수;김순호;주원식
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.1
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    • pp.145-152
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    • 2000
  • X-ray diffraction method detects change of crystal lattice distance under material surface using diffraction angle 2$\theta$. This technique can be applied to the behavior on slip band and micro crack due to material degradation. The relation between half-value breadth and number of cycle has three stages which constitute rapid decrease in initial number of cycles, slight decrease in middle number of cycles and rapid decrease in final number of cycles. The ratio of half-value breadth takes a constant value on B/B$_{0}$-N diagram with loading condition except early part of fatigue life. The ratio of half-value breadth B/B$_{0}$ with respect to number of cycle to failure N$_{f}$ has linear behavior on B/B$_{0}$-log N$_{f}$ diagram. Therefore, in this paper the estimation of fatigue life by average gradient method has much less estimated mean error than the estimation of fatigue life by log B/B$_{0}$-log N/N$_{f}$ relation.elation.ation.

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A Study on the Failure Mechanism of Turbine Blade using X-Ray Diffraction and FEM (X선 회절과 유한요소법을 이용한 터빈 블레이드의 파괴기구에 관한 연구)

  • Kim, Seong-Ung;Hong, Sun-Hyeok;Jeon, Hyeong-Yong;Jo, Seok-Su;Ju, Won-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.8
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    • pp.1645-1652
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    • 2002
  • The failure analysis on fractured parts is divided into the qualitative method by naked eyes and metallurgical microscope etc. and the quantitative method by SEM and X-ray diffraction etc. X-ray fractography can be applied to contaminated surface as well as clean surface and gain the plastic deformation and the residual stress near the fractured surface. Turbine blade is subject to cyclic bending force by steam pressure and suffers fatigue damage according to the increasing operating time. Therefore, to clean up the fracture mechanism of torsion-mounted blade in nuclear plant, the fatigue and the X-ray diffraction test was performed on the 12%Cr steel fur turbine blade and the fractured parts. The correlation of X-ray parameter and fracture mechanics parameter was determined, and then the load applied to actual broken turbine blade was predicted. Failure analysis was performed by contact stress analysis and Goodman diagram of torsion-mounted blade.

Measurement of Residual Stress Distribution in the Depth Direction of Annealed Materials of Lapped Bearing Steel Using Weighted Averaging Analysis Method (가중평균 해석법을 이용한 래핑된 베어링강 어닐링재료의 깊이방향에 대한 잔류응력분포 측정)

  • Chang-Suk Han;Chan-Woo Lee
    • Korean Journal of Materials Research
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    • v.33 no.5
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    • pp.205-213
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    • 2023
  • This paper reports the results of an experimental examination using X-rays to test annealing materials for lapped bearing steel (STB2), to confirm the validity of the weighted averaging analysis method. The distribution behavior for the α𝜓-sin2𝜓 diagram and the presence or absence of differences in the peak method, half-value breadth method, and centroid method were investigated. When lapping the annealed bearing steel (STB2) material, a residual stress state with a non-directional steep gradient appeared in the surface layer, and it was found that the weighted averaging analysis method was effective. If there is a steep stress gradient, the sin2𝜓 diagram is curved and the diffraction intensity distribution curve becomes asymmetric, resulting in a difference between the peak method, half-value breadth method, and centroid method. This phenomenon was evident when the stress gradient was more than 2~3 kg/mm2/㎛. In this case, if the position of the diffraction line is determined using the centroid method and the weighted averaging analysis method is applied, the stress value on the surface and the stress gradient under the surface can be obtained more accurately. When the stress gradient becomes a problem, since the curvature of the sin2𝜓 diagram appears clearly in the region of sin2𝜓 > 0.5, it is necessary to increase the inclination angle 𝜓 as much as possible. In the case of a lapping layer, a more accurate value can be obtained by considering 𝜎3 in the weighted averaging analysis method. In an isotropic biaxial residual stress state, the presence or absence of 𝜎3 can be determined as the presence or absence of strain for sin2𝜓≈0.4.

A Study on the Failure Mechanism of Turbine Blade using X-Ray Diffraction and FEM (X선 회절과 유한요소법을 이용한 터빈 블레이드의 파괴기구에 관한 연구)

  • Kim, Sung-Woong;Hong, Soon-Hyeok;Jeon, Hyoung-Yong;Cho, Seok-Swoo;Joo, Won-Sik
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.258-265
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    • 2001
  • Turbine blade is subject to force of three type ; torsional force by torsion-mount, centrifugal force by rotation of rotor and cyclic bending force by steam pressure. Cyclic bending force of them is main factor on fatigue fracture. In the X-ray diffraction method, the change in the values related to plastic deformation and residual stress near the fracture surface mat be determined, and information of internal structure of material can be obtained. Therefore, to find a fracture mechanism of torsion-mounted blade in nuclear plant, based on the information from the fracture surface obtained by fatigue test, the correlation of X-ray parameter and fracture mechanics parameter was determined, and then the load applied to actual broken turbine blade parts was predicted. Failure analysis is performed by finite element method and Goodman diagram on torsion-mounted blade.

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Iridescent Specular Structural Colors of Two-Dimensional Periodic Diffraction Gratings

  • Yoon, Kyungsik;Choi, Sujin;Paek, Jeongyeup;Im, Dajeong;Roh, Jinyoung;Kwon, Jaebum;Kim, Hwi
    • Journal of the Optical Society of Korea
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    • v.18 no.5
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    • pp.616-622
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    • 2014
  • Specular structural colors generated by two-dimensional periodic binary gratings are investigated theoretically. An approximate mathematical model of the grating specular structural colors is described, based on scalar nonparaxial diffraction theory, and the functional relationships of specular structural color and structural parameters of gratings are analyzed. Through this, the optimal condition for maximizing the color-representation range in the standard CIE 1931 chromaticity diagram is derived.

A Numerical Model of Irregular Wave Diffraction around a Thin Semi-Infinite Breakwater (반무한 방파제 주위에서의 불규칙파 회절에 대한 수치모형)

  • 정신택;채장원;강관수;전인식
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.1
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    • pp.45-50
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    • 1993
  • The phenomenon of wave diffraction due to structure is an important factor in the wave climate at the site As an approximation, the propagation characteristics of a regular wave train are usually used. instead of those of irregular waves. However, there are great differences between the diffraction coefficients of the irregular waves and monochromatic waves, as shown by Goda (1985). The spectral calculation method. one of the methods to deal with the transformation of random sea waves essentially consists of decomposing a spectrum of the irregular sea state Into various monochromatic components, and assembling the component results by linear superposition. Monoch romatic wave transformation model developed by Chen(1987) is used to make spectral calculation. These calculations agree closely with Goda et al. (1978)'s diffraction diagram for a thin semi-infinite breakwater.

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Optical System Design for CCTV Camera (CCTV 카메라용 광학계 설계)

  • Lee, Soo Cheon
    • Journal of Korean Ophthalmic Optics Society
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    • v.13 no.1
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    • pp.31-35
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    • 2008
  • Purpose: This study is to design a triplet optical system for CCTV camera lens. Methods: It was a telescopic lens with $5^{\circ}$ field angle, 56 mm focal length, 20 mm diameter, and 2/3 inches sized CCD array detector. Results: The performance of the subject optical system was evaluated by applying ray fan, spot diagram, and diffraction optical MTF. The wavelength was achromatized at Fraunhofer C, d and F-line, and both MTF and tangential & sagittal MTF shows more than 70% at spatial frequency of 50 linepairs/mm. Conclusions: The marketable triplet optical system for CCTV camera was designed and its utility was considered.

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